1) Compute the price of a zero-coupon bond (ZCB) that matures at time t=10 and t
ID: 2501102 • Letter: 1
Question
1) Compute the price of a zero-coupon bond (ZCB) that matures at time t=10 and that has face value 100.
Submission Guideline: Give your answer rounded to 2 decimal places. For example, if you compute the answer to be 73.2367%, submit 73.24.
2) Compute the price of a forward contract on the same ZCB of the previous question where the forward contract matures at time t=4.
Submission Guideline: Give your answer rounded to 2 decimal places. For example, if you compute the answer to be 73.2367%, submit 73.24.
3) Compute the initial price of a futures contract on the same ZCB of the previous two questions. The futures contract has an expiration of t=4.
Submission Guideline: Give your answer rounded to 2 decimal places. For example, if you compute the answer to be 73.2367%, submit 73.24.
Explanation / Answer
To calculate the price of a Zero coupon bond rate is required so it is assumed that rate=10% Price= FV/(1+r)^n 100/(1+.10)^10 100/6.1446 $16.27 Value of a Long Forward (Continuous) f=S0-Ke^rT Where S0 is the Spot Price 100 T is the remaining Time of Maturity(In Year) 4 r is the risk free rate, compounded on continous basis 10% K is the delivery price which set in the contract
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